practice - mr. zartarian's math website · 4/8/2014 · the practice test and record your...

C o m m o n C o r e e d i t i o n

8Mathematics

New York CCLSPractice

Addresses latestNYS Test

updates from 11/20/12

Replaces Practice Test 3

ContentsTo the StudentReady™ New York CCLS Practice is

a review program for the Common Core Learning Standards for Mathematics. In this practice test, you will answer 78 Math questions (68 multiple-choice, 6 short-response, and 4 extended-response).

Your teacher will explain how you will do the practice test and record your answers. Be sure to follow the directions. As you complete the practice test, answer the questions carefully. Use the Answer Form on page 57 to record your answers to the multiple-choice questions. Remember to fill in the answer bubbles completely. If you change an answer, you must erase your first answer fully. You will write out your answers to the short- and extended-response questions in the book.

While you work on the practice test, use the Testing Tips below. Read these helpful tips carefully. They can make you a better test taker.

Testing Tips for Answering Multiple-Choice Questions

• Read each question carefully before you try to answer it.

• Be sure you know what the question is asking you to do.

• Cross out any answer choices that are not reasonable. Then make your choice from the remaining choices.

• Read the question again. Check that your answer makes sense.

Grade 8 Mathematics Reference Sheet . . . . . . . . . . . . . . . . . . . . . 1

Practice Test

Book 1 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2

Book 2 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 24

Book 3 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 46

Answer Form . . . . . . . . . . . . . . . . . . . . . . . . . 57

ISBN 978-0-7609-8381-2©2013—Curriculum Associates, LLC

North Billerica, MA 01862Permission is granted for reproduction of this book

for school/home use. All Rights Reserved. Printed in USA.15 14 13 12 11 10 9 8 7 6 5 4 3 2

©Curriculum Associates, LLC 1

FORMULAS

Grade 8 Mathematics Reference Sheet*

*Reprinted courtesy of New York State Education Department.

CONVERSIONS1 centimeter 10 millimeters

1 meter 100 centimeters 1,000 millimeters

1 kilometer 1,000 meters

1 gram 1,000 milligrams

1 kilogram 1,000 grams

1 pound 16 ounces

1 ton 2,000 pounds

1 cup 8 fluid ounces

1 pint 2 cups

1 quart 2 pints

1 gallon 4 quarts

1 liter 1,000 milliliters

1 kiloliter 1,000 liters

1 mile 5,280 feet1 mile 1,760 yards

Triangle

Parallelogram

Trapezoid

b

h

b

h

Area bh12

Area h(b1 + b2) 12

Area bh

CirclerdArea r2

Circumference 2 r

b2

b1

h

Right Circular Cylinderh

r

Surface Area 2 rh 2 r2

Right Rectangular Prism Volume Bhl

wh

a

bh

h

Volume lwh

Volume Bh

h

Volume abh12

Volume

Volume Bh1313

Right Circular Coner

Right Triangular Prism

r2

hVolume

Volume Bh

r2

Book 1

©Curriculum Associates, LLC

Book 12

Answer questions 1 through 34. You may NOT use a calculator.

1 How is 6.35 3 1011 written in standard form?

A 6,350,000,000

B 63,500,000,000

C 635,000,000,000

D 6,350,000,000,000

2 The moon travels about 1.42 3 107 meters of its orbit in one twenty-four hour period. Which of the following is the most reasonable estimate for the distance the moon travels around the Earth in 27 days?

A 4.5 3 107 meters

B 2.8 3 108 meters

C 3.8 3 105 kilometers

D 2.8 3 107 kilometers

Go On


Book 1 3

3 The graph below models the cost of holding a banquet at the Tea Room restaurant.

450

420

390

360

330

300

270

240

210

180

150

1 2 3 4 5 6 7 8 9 100

y

x

Number of people

Fee

(in

do

llars

)

What is the initial fee and cost per person to hold a banquet at the Tea Room?

A fee: $150, cost per person: $30

B fee: $30, cost per person: $150

C fee: $0, cost per person: $30

D fee: $150, cost per person: $0

4 Which set of side lengths can form a triangle?

A 6 cm, 8 cm, and 16 cm

B 6 cm, 8 cm, and 10 cm

C 6 cm, 7 cm, and 14 cm

D 6 cm, 7 cm, and 20 cm


Book 14

5 Which step would not be a possible first step for solving the following equation algebraically?

3 } 4 (8q 2 12) 1 3 5 } 

6 5 6 1 1 } 

4 q

A multiply 3 } 4 and 8q

B subtract 3 5 } 6

from both sides of the equation

C subtract 6 from both sides of the equation

D subtract 1 } 4 q from both sides of the equation

6 Four teams, A, B, C, and D, are participating in a regional math quiz. They were asked to find the equation of a line that passes through the points (5, 212) and (15, 28). The table below shows their responses.

Team Equation

A y 5 2 ·· 5 x

B y 5 2 ·· 5 x 2 2

C y 5 2 ·· 5 x 2 14

D y 5 2 ·· 5 x 1 2

Which team answered correctly?

A Team A

B Team B

C Team C

D Team D

Go On


Book 1 5

7 Which ordered pairs prevent the following set from being a function?

{(1, 3), (2, 4), (3, 4), (3, 6), (5, 10), (6, 3)}

A (3, 4), (2, 4)

B (3, 4), (3, 6)

C (1, 3), (3, 4)

D (3, 6), (6, 3)

8 Due to plate tectonics, the summit of Mount Everest moves about 4.5 3 10-3 meters northeastward in one year. How many millimeters did the summit of Mount Everest move in 11 years? Express your answer in scientific notation.

A 4.5 3 10-2 millimeters

B 4.95 3 10-2 millimeters

C 4.95 3 10 millimeters

D 8.55 3 102 millimeters


Book 16

9 Figure A and its image after a transformation, Figure A’, are shown on the coordinate plane below.

-1

-2

-3

-4

-5

-6

-6 -5 -4 -3 -2 -1 1 2 3 4 5 60

6

5

4

3

2

1

y

x

FigureA

FigureA’

How was Figure A transformed to create Figure A’?

A reflected across the x-axis

B reflected across the y-axis

C translated 9 units to the right

D rotated 90° clockwise around the origin

10 A plumber charges a base fee for all service appointments. If a repair is needed, he adds a charge for each hour of labor. If the total cost, y, in dollars, of the plumber’s x-hour repair visit is modeled by the equation y 5 25x 1 30, what could the y-intercept represent?

A a base fee of $0 for service appointments

B a base fee of $25 for service appointments

C a base fee of $30 for service appointments

D a base fee of $55 for service appointments

Go On


Book 1 7

11 In the figure below, lines m and n are parallel, m/2 5 628, and m/3 5 738.

1

23

4 5

m

n

Which reasoning proves m/4 5 458?

A Since /2 and /5 are alternate interior angles, m/5 is also 628. The sum of the measures of /3, /4, and /5 equals 1808. m/2 1 m/5 5 1248. Therefore, m/4 5 568.

B Since /2 and /5 are corresponding angles, m/5 is also 628. The sum of the measures of /3, /4, and /5 equals 1808. m/3 1 m/5 5 1358. Therefore, m/4 5 458.

C Since /1 and /5 are alternate interior angles, m/5 is also 628. The sum of the measures of /3, /4, and /5 equals 1808. m/3 1 m/5 5 1358. Therefore, m/4 5 458.

D Since /2 and /5 are alternate interior angles, m/5 is also 628. The sum of the measures of /3, /4, and /5 equals 1808. m/3 1 m/5 5 1358. Therefore m/4 5 458.

12 Noralie is making a necklace using a total of 48 beads. All of the beads will be either blue or

yellow. She plans to use 1 } 3 as many yellow beads as blue beads. How many of each color bead

will she use?

A 16 yellow and 32 blue

B 32 yellow and 16 blue

C 12 yellow and 36 blue

D 36 yellow and 12 blue


Book 18

13 At the start of a month, Sasha and Natalia each have a certain amount of money. Sasha has $400 and withdraws $20 each week. The graph below shows the amount of money in Natalia’s account each week.

x

y

240

260

280290

220

200190

210

230

250

270

0 1 2 3 4 5 6 7 8 9 10Time (in weeks)

Am

ou

nt

(in

do

llars

)

NATALIA’S SAVINGS

Whose monthly activity has a negative rate of change?

A Sasha, because she is withdrawing money every week.

B Sasha, because she has more money at the start of the month.

C Natalia, because she is adding money each month.

D Natalia, because she has less money at the start of the month.

Go On


Book 1 9

14 A container used for shipping gift baskets is shown below.

[not drawn to scale]

2.5 ft

2.5 ft2.5 ft

0.8 ft

What is the volume of the shipping container?

A 12.5 cubic feet

B 15.625 cubic feet

C 18.125 cubic feet

D 20.75 cubic feet

15 In April 2011, an online social networking site had approximately 200 million registered accounts. In August, the number of registered accounts had risen to 3.62 3 108. In scientific notation, how many more users were there in August than in April?

A 1.62 3 108

B 16.2 3 107

C 162 3 106

D 1.62 x 105


Book 110

16 Triangle A’B’C ’ is similar to triangle ABC.

x

y

10

2

3

-1

-2

-3

-4

-5

-6

-7

-1-2-3 2 3 5 6 7 8

1

4

B'C'

A'

B

C

A

Which sequence of transformations was used to create the similarity?

A Triangle ABC was reflected across the x-axis and then dilated by a scale factor of 0.25 with the origin as the center of dilation.

B Triangle ABC was dilated by a scale factor of 0.25 with the origin as the center of dilation and then reflected across the x-axis.

C Triangle ABC was dilated by a scale factor of 0.25 with the origin as the center of dilation and then reflected across the y-axis.

D Triangle ABC was rotated 90° clockwise around the origin and then reflected across the x-axis.

Go On


Book 1 11

17 Use the graph below.

x

y

10

1

2

3

4

5

-1

-2

-3

-4

-5

-1-2-3-4-5 2 3 4 5

Which equation represents the line?

A y 5 2 1 } 2 x

B y 5 22x

C y 5 1 } 2 x

D y 5 2x


Book 112

18 The table below shows the hours worked last week by employees at an insurance company.

, 30 hours 30– 40 hours . 40 hours

Managers 5 15 8

Office Staff 35 15 8

Of all the employees, what is the relative frequency of managers who worked more than 40 hours per week?

A 8%

B 9.3%

C 28.8%

D 40%

19 A pair of lines intersect at the point (23, 4). Which pair of equations represents these lines?

A 2x 1 3y 5 6

y 5 x 2 7

B 2x 1 3y 5 6

y 5 23x 1 4

C 2x 1 3y 5 6

y 5 2   5 } 3 x 2 1

D 2x 1 3y 5 6

y 5 4 } 3 x 1 4

Go On


Book 1 13

20 A rectangular prism is shown below.

Faith drew a plane to slice the prism diagonally from the top front edge to the back bottom edge. Which figure was formed by the intersection of the prism and the plane?

A C

B D


Book 114

21 The graph below shows the number of hours Dario worked and the amount he earned.

100

90

80

70

60

50

40

30

20

10

1 2 3 4 5 6 7 8 9 100

y

x

Time (in hours)

DARIO’S SALARY

Sala

ry (

in d

olla

rs)

(8, 96)

(2, 24)

(5, 60)

What is Dario’s hourly salary?

A $0.08

B $12

C $24

D $54

Go On


Book 1 15

22 The vertices of parallelogram WXYZ are W(21, 1), X(23, 0), Y(22, 23), and Z(0, 22). Which figure is the result of parallelogram WXYZ being translated 2 units to the left and 4 units down?

-1

-2

-3

-4

-5

-6

-7

-8

-9

-10

-10 -9 -8 -7 -6 -5 -4 -3 -2 -1 1 2 3 4 5 6 7 8 9 100

10

9

8

7

6

5

4

3

2

1

y

x

X’W’

Y’

Z’

-1

-2

-3

-4

-5

-6

-7

-8

-9

-10

-10 -9 -8 -7 -6 -5 -4 -3 -2 -1 1 2 3 4 5 6 7 8 9 100

10

9

8

7

6

5

4

3

2

1

y

x

X’W’

Y’

Z’

A C

-1

-2

-3

-4

-5

-6

-7

-8

-9

-10

-10 -9 -8 -7 -6 -5 -4 -3 -2 -1 1 2 3 4 5 6 7 8 9 100

10

9

8

7

6

5

4

3

2

1

y

x

X’W’

Y’

Z’

-1

-2

-3

-4

-5

-6

-7

-8

-9

-10

-10 -9 -8 -7 -6 -5 -4 -3 -2 -1 1 2 3 4 5 6 7 8 9 100

10

9

8

7

6

5

4

3

2

1

y

x

X’W’

Y’

Z’

B D


Book 116

23 The price of a circular pizza is based on the diameter of the pizza and number of toppings. If P represents the price of the pizza, in dollars, and A represents the area of a pizza, in square inches, which function best represents the lowest price per square inch for a cheese pizza with no toppings?

A

10

9

8

7

6

5

4

3

2

1

5 10 15 20 25 30 35 40 45 500

y

x

Area (in square inches)

PIZZA PRICE PER SQUARE INCH

Pric

e (i

n d

olla

rs)

B P 5 $0.16 3 A

C

Area Price

50 in.2 $4.00

100 in.2 $8.00

150 in.2 $12.00

200 in.2 $16.00

D A ten-inch pizza costs $0.13 per square inch.

Go On


Book 1 17

24 Parallelogram LMNO is shown below.

-1

-2

-3

-4

-5

-5 -4 -3 -2 -1 1 2 3 4 50

5

4

3

2

1

y

xL

M

NO

Which figure represents parallelogram LMNO rotated 908 counterclockwise around the origin?

-1

-2

-3

-4

-5

-5 -4 -3 -2 -1 1 2 3 4 50

5

4

3

2

1

y

xL’

O’

N’

M’

-1

-2

-3

-4

-5

-5 -4 -3 -2 -1 1 2 3 4 50

5

4

3

2

1

y

xL’

O’N’

M’

A C

-1

-2

-3

-4

-5

-5 -4 -3 -2 -1 1 2 3 4 50

5

4

3

2

1

y

xL’

O’

N’

M’

-1

-2

-3

-4

-5

-5 -4 -3 -2 -1 1 2 3 4 50

5

4

3

2

1

y

xL’

O’

N’

M’

B D


Book 118

25 Which scatter plot has a negative correlation?

x

y

x

y

A C

x

y

x

y

B D

Go On


Book 1 19

26 Which equation represents a linear function?

A y 5 1 } x 1 2

B y 5 x 2

C y 5 1 2 4 } 3 x

D y 5 10 1 5 } 6

x 3

27 How many solutions does the following equation have?

7x 1 9 5 1 } 2

(8x 2 12)

A no solutions

B infinitely many solutions

C one solution, x 5 2   21 }} 5

D one solution, x 5 25

28 Elvira wants to predict how much her cable television service will cost each month. She pays a fee of $69.99 a month for service and $4.99 for each movie she orders. She lets x represent the number of movies she watches each month and y represent the total cost for her cable service. Which equation can she use to predict how much she will pay each month?

A y 5 74.98x

B y 5 4.99 1 69.99x

C y 5 69.99 1 4.99x

D y 5 69.99 2 4.99x


Book 120

29 The graph below shows the positions of two trains starting from different stations at the same time. They travel at different speeds.

DISTANCE-TIME RELATIONSHIPFOR TWO TRAINS

1,000

900

800

700

600

500

400

300

200

100

1 2 3 4 5 6 7 8 9 100

y

x

Time (in hours)

Dis

tan

ce (

in m

iles)

Train A

Train B

Which point corresponds to how far the trains have traveled and after how many hours the trains will meet?

A (5, 600)

B (5, 200)

C (10, 1,000)

D (10, 800)

30 Honshu found that the equation y 5 0.6x 1 4 models the relationship between y, the weight, in pounds, of a puppy, and x, its age in weeks. By how much does the weight of the puppy change over time?

A 0.6 pound every 4 weeks

B 0.6 pound every week

C 1 pound every 0.6 week

D 4 pounds every week

Go On


Book 1 21

31 Which table shows a nonlinear association?

Week Total Deposit

1 $25

2 $50

3 $75

4 $100

5 $125

Month Loan Payment

1 $102.45

2 $102.45

3 $102.45

4 $102.45

5 $102.45

A C

Year Population

2001 10,000

2002 9,500

2003 9,000

2004 8,500

2005 8,000

Hours Population

1 5

2 15

3 25

4 75

5 245

B D

32 Which expression is equivalent to 26 3 224

}}}} 27 ?

A 1 }} 32

B 1 }} 16

C 16

D 32


Book 122

33 Which sequence of transformations on Figure A will generate the image Figure A’, as shown on the coordinate plane below?

-2

-4

-6

-8

-10

-12

-14

-16

-18

-20

-20 -18 -16 -14 -12 -10 -8 -6 -4 -2 2 4 6 8 10 12 14 16 18 200

20

18

16

14

12

10

8

6

4

2

y

x

B’

C’

E’

D’

D

EC

B

Figure A

Figure A’

A Dilate Figure A by a scale factor of 2 and with a center of dilation at the origin, and then reflect it across the y-axis.

B Dilate Figure A by a scale factor of 2 and with a center of dilation at the origin, and then reflect it across the x-axis.

C Dilate Figure A by a scale factor of 2 and with a center of dilation at the origin, and then rotate it 908 clockwise around the origin.

D Dilate Figure A by a scale factor of 2 and with a center of dilation at the origin, and then rotate it 1808 clockwise around the origin.


Book 1 23

34 Quadrilateral ABCD is congruent to quadrilateral A’B’C ’D’.

x

y

10

2

3

-1

-2

-3

-4

-5

-6

-7

-1-2-3 2 3 5 6 7 8

1

4

A'

D'C'

B'

B C

DA

Which sequence of transformations was used to create quadrilateral A’B’C ’D?

A Quadrilateral ABCD was rotated 90° counterclockwise around the origin and then reflected across the y-axis.

B Quadrilateral ABCD was rotated 90° counterclockwise around the origin and then translated 4 units to the left.

C Quadrilateral ABCD was reflected across the x-axis and then rotated 90° clockwise around the origin.

D Quadrilateral ABCD was reflected across the y-axis and then rotated 90° counterclockwise around the origin.

STOP

©Curriculum Associates, LLC 24 Book 2

Book 2

Answer questions 35 through 68. You may use a calculator.

35 On which interval is the graph below linear and increasing?

x

y

10

2

3

5

6

-1

-2

-3

-4

-5

-6

-1-2-3-4-5-6 2 3 5 6

1

4

4

A between x 5 26 and x 5 22

B between x 5 22 and x 5 0

C between x 5 0 and x 5 2

D between x 5 2 and x 5 6

Go On

©Curriculum Associates, LLC 25Book 2

36 A plant cell is 0.00001267 meter wide. How is this number written in scientific notation?

A 0.1267 3 1024

B 1.267 3 1025

C 12.67 3 1026

D 1.267 3 105

37 Which table models a function?

x y29 2

29 1

29 0

29 21

29 22

x y

4 22

4 2

9 23

9 3

25 5

A C

x y24 5

23 6

5 7

8 13

8 19

x y24 4

21 1

2 2

3 3

4 4

B D


38 The equations y 5 1.8x 1 1.1 and y 5 0.25x 1 3.9 are graphed below.

-1

-2

-2 -1 1 2 3 4 5 6 7 8 9 100

10

9

8

7

6

5

4

3

2

1

y

x

Which ordered pair comes closest to the solution of the system of equations?

A (2, 4)

B (1, 4)

C (4, 1)

D (4, 2)

Go On


39 Look at the scatter plot below. Liza used points J and K to draw a line of best fit for the data. Derek used the points J and M to draw a line of best fit.

x

y

JL

M

N

K

Which reason best explains why Derek’s line is a better model for the data?

A Since point J is close to the other points, the line would also be close.

B Since the line has a positive slope, it can be used as the line of best fit.

C Since point K is a data point, it can be used to find the line of best fit.

D Since point K is an outlier, the line would be below the other data points.

40 The MacVieras’ kitchen is in the shape of a square. They would like to make it into a rectangular shape with a length that is 8 feet shorter than twice the width. The perimeter will be 134 feet. What are the dimensions, in feet, of the new kitchen?

A 25 feet wide and 42 feet long

B 35.5 feet wide and 55 feet long

C 42 feet wide and 25 feet long

D 47.3 feet wide and 86.6 feet long


41 Of the three linear functions represented below, which has the greatest rate of change?

Function 1: y 5 2x 1 6

Function 2: x y

21 3

1 15

2 21

Function 3: a number, y, is 2 less than half of a number x.

Which function has the greatest rate of change?

A Function 3 has the greatest rate of change.

B Function 2 has the greatest rate of change.

C Function 1 has the greatest rate of change.

D All three functions have the same rate of change.

42 A system of equations is shown below.

    2y 1 2x 5 4

2x 2 y 5 24

Without doing any calculations, what is the solution to the system of equations?

A There are infinitely many solutions because the two equations are equal.

B There is no solution because 2x 2 y cannot be 4 and 24.

C The solution is (0, 4).

D The solution is (4, 0).

Go On


43 k

 · l

 AD , k

 · l

 BE , and k

 · l

 CF intersect at point G.

70°80°

30°

A

B

C

D

E

F

y°x°G

What is the value of x?

A 308

B 708

C 808

D 1108


44 Lines l and m are parallel and intersected by transversals t and s as shown in the figure below.

l m

t

s

C

BA

Y

X

If /C 5 /Y and /B 5 /X, which equation is true?

A m/A 1 m/B 1 m/C 5 180°

B m/A 5 m/B 1 m/C

C m/A 2 (m/B 1 m/C ) 5 90°

D m/A 1 m/B 5 m/A 1 m/C

Go On


45 In the coordinate plane below, Figure D’ is similar to Figure D.

-1

-2

-3

-4

-5

-5 -4 -3 -2 -1 1 2 3 4 50

5

4

3

2

1

y

xFigure D

Figure D’

Which two transformations were performed on Figure D resulting in Figure D’?

A a reflection over the y-axis and dilation by a scale factor of 1 } 2 with the origin as

the center of dilation

B a reflection over the x-axis and dilation by a scale factor of 1 } 3 with the origin as

the center of dilation

C a dilation by a scale factor of 1 } 2

with the origin as the center of dilation and a reflection over the y-axis

D a dilation by a scale factor of 1 } 3

with the origin as the center of dilation and a reflection over the y-axis


46 The speed of light as it reaches Earth is approximately 300,000,000 meters per second. How is this number written in scientific notation?

A 3 3 105 meters per second

B 3 3 106 meters per second

C 3 3 107 meters per second

D 3 3 108 meters per second

47 A cylindrical water tank near the town library is 15 meters high and has a circumference of 85 meters. What is the approximate volume, to the nearest whole number, of the water tank? Use 3.14 for p.

A 1,275 m3

B 2,875 m3

C 8,629 m3

D 34,497 m3

48 Marta surveyed educators about their ages and whether or not they have a doctorate degree. She created the table below to summarize their responses.

Have Doctorate

Do Not Have Doctorate

30 or Younger 5 17

Older than 30 12 30

How many educators did Marta survey?

A 29

B 42

C 59

D 64

Go On


49 In the coordinate plane below, nABC is similar to nDEF.

y

xA

B

DF

E

C(–8, 2)

(–8, 8)

(0, 0)(–4, 0)

(–2, 2)

(–4, y)

What is the value of y?

A 3

B 4

C 5

D 6

50 Where do the lines modeled by the equations y 5 2   7 } 8 x and y 5 2   7 } 8 x 1 1 } 4 intersect?

A (0, 2)

B (7, 8)

C The lines do not intersect.

D The lines are the same line.


51 Look at figure PQRS below.

-1

-2

-2 -1 1 2 3 4 5 6 7 8 9 100

10

9

8

7

6

5

4

3

2

1

y

x

S R

Q

P

If figure PQRS is dilated using a scale factor of 0.5 with the center of dilation at (0, 0), what are the coordinates of the points of the image P’Q’R’S’?

A P’(1.5, 1.5), Q’(2.5, 1.5), R’(2.5, 3.5), S’(0.5, 3.5)

B P’(2.5, 2.5), Q’(6.5, 4.5), R’(6.5, 8.5), S’(2.5, 8.5)

C P’(4, 4), Q’(12, 8), R’(12, 16), S’(4, 16)

D P’(1, 1), Q’(3, 2), R’(3, 4), S’(1, 4)

Go On


52 Jeffrey and Fumi walk at different speeds. Fumi’s walking speed is y 5 85x, where x is the time in minutes and y is the distance in meters. Jeffrey’s walking speed is shown in the graph below.

1000

900

800

700

600

500

400

300

200

100

1 2 3 4 5 6 7 8 9 100

y

x

Time (in minutes)

JEFFREY’S WALKINGSPEED

Dis

tan

ce (

in m

eter

s) (10, 800)

(5, 400)

Which statement is true?

A Jeffrey walks 5 meters per minute faster than Fumi.

B Jeffrey walks 10 meters per minute faster than Fumi.

C Jeffrey walks 5 meters per minute slower than Fumi.

D Jeffrey walks 10 meters per minute slower than Fumi.


53 What is the equation of the line with a slope of 23 and passes through the point (26, 23)?

A y 5 23

B y 5 26x 2 3

C y 5 23x 2 3

D y 5 23x 2 21

54 When the points in a scatter plot are clustered around a line of best fit, what does this imply about the correlation between the two variables?

A There is a strong correlation.

B There is a weak correlation.

C There is a negative correlation.

D There is a positive correlation.

Go On


55 Kyle got into his car and steadily accelerated to the speed limit. After driving at a constant rate of speed for a while, he slowed to a stop and parked in a store parking lot. Kyle spent a few minutes shopping, and then reentered his car to drive home. He accelerated to the speed limit, continued at that speed for a while, and then slowed to a stop and parked in his driveway.

Which graph best represents the scenario described?

Time

Spee

d

x

y

Time

Spee

d

x

y

A C

Time

Spee

d

x

y

Time

Spee

d

x

y

B D


56 Quadrilateral PQRS is shown below.

-1

-2

-3

-4

-5

-6

-7

-8

-9

-10

-10 -9 -8 -7 -6 -5 -4 -3 -2 -1 1 2 3 4 5 6 7 8 9 100

10

9

8

7

6

5

4

3

2

1

y

x

R

P Q

S

Which set of coordinates results from a reflection of PQRS across the x-axis?

A P’(8, 8), Q’(4, 8), R’(4, 4), S’(8, 2)

B P’(8, 28), Q’(4, 28), R’(4, 24), S’(8, 22)

C P’(28, 22), Q’(24, 22), R’(24, 24), S’(28, 28)

D P’(28, 28), Q’(24, 28), R’(24, 24), S’(28, 24)

Go On


57 In the pair of equations bx 2 6y 5 18 and 2x 2 3y 5 9, b is a constant. The two equations have infinitely many solutions. What is the value of b?

A 3

B 4

C 5

D 6

58 The planet Mercury is approximately 6 3 107 miles from the sun. The distance between the sun and Mars is approximately 2 3 108 miles. About how many times farther from the sun is Mars than Mercury?

A 2

B 3

C 20

D 30

59 Which equation is a straight line when graphed on a coordinate plane?

A y 2 5 10x 1 3

B y 2 5 10x 2 1 3

C y 5 10x 1 3

D y 5 10x 2 1 3


60 Jacob is twice as old as Sue. The sum of their ages is 69 years. How old is Jacob?

A 46

B 35

C 34

D 23

61 Consider the table below.

x y

0 1

1 2

3 8

4 16

5 32

6 64

If the data are graphed on a coordinate plane, would the graph be linear?

A Yes, because the rule is y 5 2x.

B Yes, because its graph is a straight line.

C No, because the graph is only in Quadrant I.

D No, because the rate of change is not constant.

Go On


62 Which point in the scatter plot below appears to be an outlier?

60

80

40

2010

30

50

70

0 10 20 30 40 50 60 70 80 90100Lesson Length (in minutes)

Less

on

Co

st (

in d

olla

rs)

PRIVATE MUSIC CLASSES

A the 20-minute lesson that costs $20

B the 45-minute lesson that costs $45

C the 60-minute lesson that costs $55

D the 90-minute lesson that costs $40

63 Which equation has an infinite number of solutions?

A 28x 1 8 5 0

B 1 } 4 (3x 2 12) 5 2 1 } 

4 x 2 3

C 2x 1 8 5 2(x 1 8)

D 1 } 2

(6x 2 10) 5 3x 2 5


64 Which graph represents a function?

x

y

10

2

3

5

6

-1

-2

-3

-4

-5

-6

-1-2-3-4-5-6 2 3 5 6

1

4

4

x

y

10

2

3

5

6

-1

-2

-3

-4

-5

-6

-1-2-3-4-5-6 2 3 5 6

1

4

4

A C

x

y

10

2

3

5

6

-1

-2

-3

-4

-5

-6

-1-2-3-4-5-6 2 3 5 6

1

4

4

x

y

10

2

3

5

6

-1

-2

-3

-4

-5

-6

-1-2-3-4-5-6 2 3 5 6

1

4

4

B D

Go On


65 Which sequence of transformations is performed so that Figure 1 is congruent to Figure 2?

-1

-2

-3

-4

-5

-6

-7

-8

-9

-10

-10 -9 -8 -7 -6 -5 -4 -3 -2 -1 2 3 4 5 6 7 8 9 100

10

9

8

7

6

5

4

3

2

1

y

x

B

C

A

D

B’

C’

A’

D’

1

Figure2

Figure1

A Figure 1 is translated 3 units down and 4 units to the right.

B Figure 1 is translated 5 units down and 4 units to the right.

C Figure 1 is translated 4 units down and 5 units to the right.

D Figure 1 is translated 4 units up and 5 units to the left.


66 Which expression is not equivalent to 1 }} 343

?

A 74 3 7-7

B 77 3 7-10

C 7-2 3 7-5

D 7-5 3 72

67 The figure below is made of a cube and a rectangular prism.

18 in.

6 in.

6 in.

6 in.

6 in.


What is the surface area of the figure?

A 864 in.2

B 792 in.2

C 648 in.2

D 612 in.2


68 The graph shows the number of calories a person burns while doing moderate exercise.

100

90

80

70

60

50

40

30

20

10

1 2 3 4 5 6 7 8 9 100

y

x

Number of minutes

Cal

ori

es b

urn

ed

How many calories does a person burn per minute?

A 14

B 7

C 4

D 3

STOP


Book 3

Answer questions 69 through 78. You may use a calculator.

69 The mass of Earth is 5.97 3 1024 kilograms. The mass of the Moon is 7.34 3 1022 kilograms.

Part A

What is the combined mass of Earth and the Moon? Express your answer in scientific notation.

Show your work.

Answer kilograms

Part B

How many times greater is the mass of Earth than the mass of the Moon? Express your answer in scientific notation.

Show your work.

Answer

Go On


70 The graph below shows the solutions to y 5 2x 2 5.

-1

-2

-3

-4

-5

-6

-7

-8

-9

-10

-10 -9 -8 -7 -6 -5 -4 -3 -2 -1 1 2 3 4 5 6 7 8 9 100

10

9

8

7

6

5

4

3

2

1

y

x

Part A

The line y 5 2 1 } 2 x is perpendicular to y 5 2x 2 5. Graph the solutions to y 5 2 1 } 

2 x on the same

coordinate plane.

Part B

Using the graph you drew in Part A, what point is the solution to both y 5 2 1 } 2 x and

y 5 2x 2 5?

Answer


71 Jeremiah uses blocks to form the first five figures of a pattern as shown below.

Figure 1 Figure 2 Figure 3 Figure 4 Figure 5

Part A

Make a table of ordered pairs showing each figure number and the number of blocks in the figure.

Part B

Graph the relationship between the figure number and the number of blocks in the figure.

Part C

Is the relationship between the figure number and the number of blocks in the figure a linear function? Explain your answer.

Go On


72 Line XY is parallel to line segment AC as shown in the figure below.

B

XY

C

A

Part A

Name two similar triangles shown in the figure.

Answer

Part B

Explain why the triangles are similar.


73 Look at the figure below.

A

P Q

RS

D C

B

9 ft

8 ft

6 ft

14 ft


4 ft

Part A

What is the area of trapezoid ABCD?

Show your work.

Answer square feet

Go On


Part B

What is the area of parallelogram PQRS?

Show your work.

Answer square feet

Part C

What is the area of the shaded region?

Show your work.

Answer square feet


74 Consider the equation below.

1 } 5 (x 1 2) 1 2x 5 6x 2 10

Part A

Which property can be used to simplify the expression 1 } 5 (x 1 2)?

Answer

Part B

Move all x-terms to one side of the equation and simplify.

Show your work.

Answer

Part C

What is the value of x?

Show your work.

Answer

Go On


75 The table below shows the daily temperature and sales of lemonade at Cool Lemonade Shop for the past 10 days.

Temperature (°F) Sales ($)

64.4 119

68.2 130

62.8 115

71 140

67.8 128

72.6 142

78.8 165

75 154

63.4 118

59.8 112

Part A

Sketch a scatter plot to show the relationship between the daily temperature and sales of lemonade shown in the table above.

Part B

What type of association does the scatter plot show, linear or nonlinear? Explain your answer.


76 Consider the pair of linear equations below.

4x 1 6y 5 12

2x 1 3y 5 6

Part A

What is the relationship, if any, between 12 and 6?

Part B

Do the two equations have one solution, no solution, or infinitely many solutions? Explain.

Part C

How can you verify your answers to Parts A and B by solving algebraically?


77 A campground rents canoes for a flat fee of $25 plus $5 per hour.

Part A

Write a linear function to model the relationship between the number of hours renting a canoe and the total cost of renting one.

Function

Part B

Explain the meaning of slope in the context of the problem.

Go On


78 Consider the graph below.

-1

-2

-3

-4

-5

-6

-7

-8

-9

-10

-10 -9 -8 -7 -6 -5 -4 -3 -2 -1 1 2 3 4 5 6 7 8 9 100

10

9

8

7

6

5

4

3

2

1

y

x

Part A

Find the y-intercept, b, and the slope, m, of the line.

Show your work.

Answer

Part B

Write the equation of the line.

Equation STOP

Cut a

long

the

dott

ed li

ne.

Ready™ New York CCLS Mathematics Practice, Grade 8Answer Form

Name

Teacher Grade

School City

57

Book 1 Book 2 Book 3 1. A B C D

2. A B C D

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68. A B C D

For questions 69 through 78, write your answers in the book.

69. See page 46. 70. See page 47. 71. See page 48. 72. See page 49. 73. See page 50. 74. See page 52. 75. See page 53. 76. See page 54. 77. See page 55. 78. See page 56.

14420.1

Reorder No. CA14420—25-Pack

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